11. What does the least squares method do exactly? a. Minimizes the errors between the actual model values and the estimated model values. b. Maximizes the distance between the parameters and the estimators. c. Finds the best regression model. d. Minimizes the distance between the parameters and the estimators. e. All the above.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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11. What does the least squares method do exactly?
a. Minimizes the errors between the actual model values and the estimated model
values.
b. Maximizes the distance between the parameters and the estimators.
c. Finds the best regression model.
d. Minimizes the distance between the parameters and the estimators.
e. All the above.
12. Which of the following is an assumption of T-test for testing several populations?
a. All the random variables within the k populations follow a normal distributions.
b. The samples associated with each population are randomly selected and are
independent from all other samples.
c. The variances of all random variables should be homogenous.
d. The correlation coefficient between the random variablescshould be significant.
e. All of the above
13. In a one-way ANOVA, which of the following statements is correct?
There are multiple interactions.
b. The error sum square is moderately small in one-way ANOVA
The interaction can increased the efficiency of one-way ANOVA .
d. The model cannot be included any interaction.
The model works exactly t-test works.
a.
с.
е.
14. Which of the following is an assumption of two-way ANOVA with interaction?
All the random variables within the k populations follow the normal distributions.
b. at least two observations in each cell.
The samples associated with each population are randomly selected and are
independent from all other samples.
d. The variances of all random variables should be homogenous.
e. There should be no significant outliers
a.
с.
Transcribed Image Text:11. What does the least squares method do exactly? a. Minimizes the errors between the actual model values and the estimated model values. b. Maximizes the distance between the parameters and the estimators. c. Finds the best regression model. d. Minimizes the distance between the parameters and the estimators. e. All the above. 12. Which of the following is an assumption of T-test for testing several populations? a. All the random variables within the k populations follow a normal distributions. b. The samples associated with each population are randomly selected and are independent from all other samples. c. The variances of all random variables should be homogenous. d. The correlation coefficient between the random variablescshould be significant. e. All of the above 13. In a one-way ANOVA, which of the following statements is correct? There are multiple interactions. b. The error sum square is moderately small in one-way ANOVA The interaction can increased the efficiency of one-way ANOVA . d. The model cannot be included any interaction. The model works exactly t-test works. a. с. е. 14. Which of the following is an assumption of two-way ANOVA with interaction? All the random variables within the k populations follow the normal distributions. b. at least two observations in each cell. The samples associated with each population are randomly selected and are independent from all other samples. d. The variances of all random variables should be homogenous. e. There should be no significant outliers a. с.
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